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Finding the Fourth Proportional to 508,892.76, 702,244.62 and 282,523.68

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Solution

The fourth proportional to 508,892.76, 702,244.62 and 282,523.68 is: 389,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,892.76 : 702,244.62 = 282,523.68 : x
  2. Step 2: Convert to fraction form
    508,892.76/702,244.62 = 282,523.68/x
  3. Step 3: Cross multiply
    508,892.76x = 702,244.62 × 282,523.68
  4. Step 4: Simplify right side
    508,892.76x = 198,400,734,302.60
  5. Step 5: Solve for x
    x = 198,400,734,302.60/508,892.76
  6. Step 6: Final answer
    x = 389,867.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.